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Finding the Fourth Proportional to 20,679.64, 31,007.69 and 14,113.78

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Solution

The fourth proportional to 20,679.64, 31,007.69 and 14,113.78 is: 21,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,679.64 : 31,007.69 = 14,113.78 : x
  2. Step 2: Convert to fraction form
    20,679.64/31,007.69 = 14,113.78/x
  3. Step 3: Cross multiply
    20,679.64x = 31,007.69 × 14,113.78
  4. Step 4: Simplify right side
    20,679.64x = 437,635,714.97
  5. Step 5: Solve for x
    x = 437,635,714.97/20,679.64
  6. Step 6: Final answer
    x = 21,162.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.